What is the solution to the equation? 3x - 5 =7x -9

Answers

Answer 1

Answer:

x=1

Step-by-step explanation:

3x - 5 =7x -9

Subtract 3x from each side

3x - 5-3x =7x-3x -9

-5 = 4x-9

Add 9 to each side

-5+9 = 4x-9+9

4 = 4x

Divide each side by 4

4/4 = 4x/4

1=x

Answer 2

Answer:

numbers

=

1

Step-by-step explanation:

1

Add

5

5

5

to both sides of the equation

3

5

=

7

9

3x-5=7x-9

3x−5=7x−9

3

5

+

5

=

7

9

+

5

3x-5+{\color{#c92786}{5}}=7x-9+{\color{#c92786}{5}}

3x−5+5=7x−9+5

2

Simplify

Add the numbers

Add the numbers

3

=

7

4

3x=7x-4

3x=7x−4

3

Subtract

7

7x

7x

from both sides of the equation

3

=

7

4

3x=7x-4

3x=7x−4

3

7

=

7

4

7

3x{\color{#c92786}{-7x}}=7x-4{\color{#c92786}{-7x}}

3x−7x=7x−4−7x

4

Simplify

Combine like terms

Combine like terms

4

=

4

-4x=-4

−4x=−4

5

Divide both sides of the equation by the same term

4

=

4

-4x=-4

−4x=−4

4

4

=

4

4

\frac{-4x}{{\color{#c92786}{-4}}}=\frac{-4}{{\color{#c92786}{-4}}}

−4−4x=−4−4

6

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=

1


Related Questions

Which side lengths form right triangles? Please help

Answers

Answer:

Step-by-step explanation:

Find the H.C.F of these expressions.(2a²+6ac,4a²c+12ac²)​

Answers

Answer:

Hello,

Answer 8a²c(a+3c) =8a³c+24a²c

Step-by-step explanation:

2a²+6ac=2a(a+3c)

4a²c+12ac²=4ac(a+3c)

H.C.F=2a(a+3c)*4ac=8a²c(a+3c)

Answer:

1st expression:2a×a+2×3×a×c

2nd expression:2×2×a×a+2×2×3×a×c×c

here,

2×a×a+2×3×a×c

2a^a+6ac

For each relation, decide whether or not it is a function.

Answers

Answer:

Step-by-step explanation:

Relation 1 is a function

Relation 2 is not a function

Relation 3 is a function

Realation 4 is not a function

Solve :2x/5 - 3x/4 = 3/10​

Answers

Answer:

I hope it helps you

Step-by-step explanation:

2x/5-3x/4=3/10

> (8x-15x)/20=3/10

> -7x×10=3×20

> -70x=60

> -x=60/70

> x= -6/7

Given that,

→ 2x/5 - 3x/4 = 3/10

We have to find,

The required value of x.

Now we can solve for the value of x,

→ 2x/5 - 3x/4 = 3/10

→ (8x - 15x)/20 = 3/10

→ -7x/20 = 3/10

→ -7x = (3/10) × 20

→ -7x = 3 × 2

→ -7x = 6

→ [x = -6/7]

Hence, the value of x is -6/7.

help me with this math question

Answers

Answer:

the answers A

Step-by-step explanation:

in b, the fraction will become positive

in c 7 isnt negative

in d. the whole fraction is positive

Here is Question Two

Answers

AB= 9 UNITS

hope it helps you...

Answer:

by Pythagoras theorem

in first

a²+ b² = c²

6² + 9² = c²

36 + 81 = 117

AD = 117

and in second

a² + b² = c²

a² + 6² = 117

a² = 117 - 36

AB² = 81

AB = 9

Nick works part-time at a bookstore. His pay varies directly with the number of hours worked. In one week, he earned $120 for 8 hours of work.

a) Define two variables for this relation.



b) Describe the rate of change in words.


c) Determine an equation to represent the relation:


d) Use the equation to determine how many hours Nick must work to earn $345

Answers

Answer:

23 hoiurs

Step-by-step explanation:

Given data

a. The two variables are

1. Number of hours worked

2. The amount earned

b. The rate is given as

=120/8

=$15 per hour

c. The equation is given as

rate=Amount earned/ number of hours worked

15= 345/hours

make hours subject of the formula we have

hours= 345/15

hours= 23 hours

Hence he must work for 23 hours

Need help with geometry question. Please help its timed. I will mark brainiest!

Answers

a , sorry if its wrong!!

Make six prime numbers using the digits 1, 2, 3, 4, 5, 6, 7, 8, 9 once each.


~can you plz explain?!

Answers

Answer:

2, 3, 5, 7, 11, 13.

Step-by-step explanation:

A prime number is a number that you don't get a whole number when divided by 2 but you do get a whole number when divided by prime numbers such as 3,5,7,11... Basically a number with two factors, it can only be divided by 1 or themselves. for example:

9/2 = 4.5 (this is not a whole number so it might be a prime.

9/3 = 3 (it works when divided by a prime number.

another:

8/2 = 4 (it gives a whole number when divided by 2 therefor, it can't be a prime number.

Answering:

There are 6 prime numbers at the top^^^^.

One possible answer is  2, 3, 5, 41, 67, 89

Another possible answer is  2, 3, 5, 47, 61, 89

Other answers may be possible.

=============================================================

Explanation:

This is a trial and error type of problem. Though with practice it's not as blind of randomly guessing.

We have 9 values here. If we paired them up, then we can form at most 4 pairs (since 9/2 = 4.5 rounds down to 4). That means we won't be able to form six two-digit primes. Some of the primes must be single digits.

We can have 3 single digit primes and 3 two-digit primes since 3+2*3 = 9.

The single digit primes are: 2, 3, 5, 7

Let's say 2 and 5 are definitely locked down to be the single digit group. I'm doing this since we can't have 2 or 5 as the units digit. If the units digit is 2, then 2 is a factor and it's not prime. Similarly, if 5 is the units digit, then 5 is a factor and that two digit value is not prime.

For good measure, we'll throw 3 in there as well and see what happens.

------------------

The digits we have left are: 1, 4, 6, 7, 8, 9

The number 14 isn't prime, but 41 is prime

67 is prime so that's another two values off the list

lastly, 89 is prime so that works as well.

So one possible sequence is 2, 3, 5, 41, 67, 89

Notice how we can swap the 1 and 7 to go from 41,67 to 47,61; this gets us two other primes. So another possible answer is 2, 3, 5, 47, 61, 89

------------------

Side note: having the list of primes on a reference sheet is a handy recommendation. You only need to go up as high as 97 which is the largest two digit prime.

How do you solve this step-by-step?

Answers

Answer:

7 1/20

OAmalOHopeO

E) Si una mujer en Suiza gana 1300 francos, ¿cuánto gana un hombre en el mismo puesto y con la misma categoría profesional? f) Un hombre, por término medio, gana en España un sueldo mensual de 1102 euros netos. ¿Cuánto ganaría si fuese mujer?

Answers

Answer:

Para responder esta pregunta, necesitamos utilizar el gráfico que se ve en la imagen de abajo.

En dicho gráfico, se presenta el porcentaje que gana, en promedio, una mujer comparado con lo que ganaría un hombre en el mismo puesto.

a)  Si una mujer en Suiza gana 1300 francos, ¿cuánto gana un hombre en el mismo puesto y con la misma categoría profesional?

Viendo el gráfico, podemos ver que en Suiza una mujer gana el 68% de lo que gana un hombre.

Entonces, si un hombre gana una cantidad X, tendremos:

X = 100%

y la mujer gana 1300 francos, que es el 68%, entonces podemos escribir:

X = 100%

1300 francos = 68%

Ahora podemos tomar el cociente entre esas dos ecuaciones, para así obtener:

X/(1300 francos) = (100%/68%)

Ahora podemos resolver esto para X:

X = (100%/68%)*(1300 francos) = 1911.76 francos.

Un hombre en la misma posición ganaría 1911.76 francos.

b) Un hombre, por término medio, gana en España un sueldo mensual de 1102 euros netos. ¿Cuánto ganaría si fuese mujer?

Viendo el gráfico, podemos ver que una mujer en España gana el 67% de lo que ganaría un hombre en la misma posición.

El sueldo del hombre es 1102 euros, y en este caso, esto es el 100%, entonces:

1102 euros = 100%

Y sea X el sueldo de la mujer, el cual sabemos que representa el 67%, entonces escribimos:

X = 67%

Así, tenemos dos ecuaciones:

X = 67%

1102 euros = 100%

Tomando el cociente, obtenemos:

X/(1102 euros) = (67%/100%)

Resolviendo para X obtenemos:

X =  (67%/100%)*(1102 euros) = 738.34 euros

Una mujer en la misma posición ganaría 738.34 euros.

at a post office always charges a flat one-time fee for any order. One time, Michael sent 35 letters and paid 26 dollars. The next time, he send 18 letters and paid $14.10. How much does the post office charge to send one letter? What is the flat fee?

Answers

Answer:

The post office charges $0.7cents to send one letter, and the fee is $1.5

Step-by-step explanation:

need help asap plz
A rectangle ABCD has a width of 3 inches and a length of 7 inches.


Answer the following questions:


a) What is the Perimeter of the rectangle?


b) What is the Perimeter of the new rectangle if you double the width of rectangle ABCD? How did you find it? How many times bigger or smaller did the new Perimeter get? (You can divide the new Perimeter over the old one to find the times of increase/decrease)


c) What is the Perimeter of the new rectangle if you double the width and length of rectangle ABCD? How did you find it? How many times bigger or smaller did the new Perimeter get compared to the perimeter of rectangle ABCD?


d) Now choose a different shape of your liking and give it your own dimensions. Answer questions a), b), c) and d) for the shape you chose.


e) Can you generalize what happens to the Perimeter if you change one of the dimensions of a shape and what happens when you change both dimensions of the shape?

Answers

Answer:

I'm sorry but i only know a) so yeah

anyway a) is 20 in.

Step-by-step explanation:

Hope it helps!

An artisan wants to split his equilateral triangular-shaped piece of glass into four equally sized pieces as part of a window design. Explain to him, with a diagram, how to design an inscribed triangle, and show him that the pieces all have equal area.

Answers

The triangle QPR having inscribed triangle STU will allow the artisan to divided his glass piece into four equal triangular pieces.

In order to divide an equilateral triangle into four equal triangular glass pieces, the artisan must;

Take S as the mid-point on PA, T as the mid-point on PR, and U as the mid-point on QR. Thus, S, T, and U are the three mid-points on each side of the equilateral triangle QPR. Now, by joining these mid-points S, T, and U, four equal triangles are made(as shown in the figure).

Since the triangle is equilateral,

PQ = QR = RP

Mid-point divides the lines into equal parts. So,

PS = SQ = QU = UR = RT = TP

Thus, it is proved that

ΔPST = ΔSTU = ΔTUR = ΔQSU

Learn more about 'Equilateral Triangle' here:

brainly.com/question/2855144

someone pls help me tysm will give brainliest !! ​

Answers

Answer:

1. 22:24 and 33:36

2. Yes, because for every time x move two times y will move three times in a graph, just like if a ratio between boys and girls was 2:3 it would mean that for every 2 boys there are 3 girls.

Step-by-step explanation:

11:12 = 22:24 and 33:36

Someone please help me I’m struggling

Answers

Answer: [tex]x =\dfrac{\fbox{-3}+i \sqrt{} \fbox{11} }{\fbox{10}}\: \: \: \: or\: \: \: \: x =\dfrac{\fbox{-3}-i\sqrt{} \fbox{11} }{\fbox{10}}[/tex]

Step-by-step explanation:

Find the discriminant.

-5x² - 3x - 1 = 0

D = b² - 4a · c

a = - 5

b = - 3

c = - 1

[tex]D=(-3)^{2} -4 \cdot (-5) \cdot (-1) = -11 < 0\\\\D=-11=- 1 \cdot 11 = i^{2} \cdot 11\\\\\sqrt{D} =\sqrt{i^{2} \cdot 11} =i\sqrt{11}\\\\ x_{1} =\dfrac{3+i\sqrt{11} }{2 \cdot (- 5)} =\dfrac{3+i\sqrt{11} }{-10}=\dfrac{-3-i\sqrt{11} }{10}\\\\x_{2} =\dfrac{3-i\sqrt{11} }{2 \cdot (- 5)} =\dfrac{3-i\sqrt{11} }{-10}=\dfrac{-3+i\sqrt{11} }{10}[/tex]

Concrete is made by mixing screenings, cement and sand in the ratio 3:1:15. How much sand would be needed to make 125 tonnes of concrete?

Answers

Step-by-step explanation:

it still remains 125 it doesn't change

−4/7 × 3/5 + 4/7 − 1/5 + 2/5 × −4/7

Pls Answer ASAP. Will Mark Brainliest.

Answers

Can you put picture, it is not clear

3 Stars and 5 Hearts is worth 27 points. 5 Stars and 7 Hearts is worth 41 points. How many points is 1 Star and 1 Heart worth?

Answers

Answer:

1 star = 4 points

1 heart = 3 points

Step-by-step explanation:

3 stars (each star is 4 points) = 3 x 4 = 12

5 hearts (each heart is 3 points) = 5 x 3 = 15

12 + 15 = 27

This applies to the other eaxmple as well.

Translate the sentence into an inequality.

Nine times the sum of a number and 22 is at most −15


HELP!!! THANKS YA'LL :))))))

Answers

Answer:

9(n + 22) ≤ -15

Step-by-step explanation:

9 times the sum of a number and 22 is at most −15

Let n = number

Times = multiplication

Sum = Addition

9 * n + 22

We must add parenthesis on the end on 22 and before n

We must do this because it says 9 times the sum of a number and 22 which means that 9 is being multiplied by both n and 22

We would have 9(n + 22)

9(n + 22) is at most -15

At most meaning that -15 is the highest number that 9(n + 22) can equal

Because it says at most 9(n + 22) can equal -15 or anything less than -15

So at most can be replaced with ≤

9(n + 22) ≤ -15

Solve the equation 5x + 2(2x -23) = -154

Answers

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

5x+2(2x-23)=-154

5x+4x-46=-154

9x-46=-154

9x=-154+46

9x=-108

x=[tex]\sf{\dfrac{-108}{9} }[/tex]

x=-12

Answer:

x = -12

Step-by-step explanation:

5x + 2(2x - 23) = -154

Distribute;

5x + 4x - 46 = -154

Collect like terms

9x - 46 = -154

Add 46 to both sides;

9x = -108

Divide both sides by 9

x = -12

how much more did Low Pricer sell than Leff Store made?

Answers

Answer:

1200-800=400

Step-by-step explanation:

low pricer has 6*200

leff has 4*200

subtract the two to find the how much more low pricer sold than leff

A 1-pound ball and a 100-pound ball are dropped from a height of 10 feet at the same time. In the absence of air resistance, __________. A 1-pound ball and a 100-pound ball are dropped from a height of 10 feet at the same time. In the absence of air resistance, __________. the 100-pound ball hits the ground first the 1-pound ball hits the ground first the two balls end in a tie There's not enough information to determine which ball hits the ground first

Answers

Complete Question

1-pound ball and a 100-pound ball are dropped from a height of 10 feet at the same time. In the absence of air resistance,

a the two balls end in a tie

b the 100-pound ball hits the ground first

c the 1-pound ball hits the ground first

d There's not enough information to determine which ball hits the ground first

Answer:

Option A

Step-by-step explanation:

From the question we are told that:

Ball 1's Mass [tex]m_1=1lbs[/tex]

Ball 2's Mass [tex]m_2=100lbs[/tex]

Height [tex]H=10ft[/tex]

With Equal Gravitational acceleration of

[tex]g=9.8m/s^2=32ft/s^2[/tex]

Generally the equation for Kinematics is mathematically given by

[tex]S=Ut+\frac{1}{2}gt^2[/tex]

Since

[tex]u=o,[/tex]

[tex]g_1=g_2[/tex] and

Distance S traveled equal

[tex]S_1=S_2[/tex]

Therefore

[tex]T_1=T_2[/tex]

Hence "the two balls end in a tie"

Option A

Find the median of :- 25, 37, 27, 38, 29, 20, 39​

Answers

Answer: The median is 29

Step-by-step explanation:

I started by arranging the data points from smallest to largest to get 20, 25, 27, 29, 37, 38, 39. Then I found the middle number in the data set and got 29.

Answer:

Median: 29

Step-by-step explanation:

Median: middle number

•••••••••••••••••••••••••••••••

Sort the numbers from least to greatest

20, 25, 27, 29, 37, 38, 39

Then calculate the median

The median would be 29

A class is divided evenly into four groups.which could NOT be the total number of students in the class?

A. 46

B. 36

C. 52​

Answers

Answer:

a. 46

Step-by-step explanation:

not evenly divisible by 4

A. 46 is the answer

(06.04 MC) Dennis drew the line of best fit on the scatter plot shown below: What is the approximate equation of this line of best fit in slope-intercept form?

Answers

Answer:

Step-by-step explanation:

In order to write the equation of this line, we need to pick 2 points on the graph where the line goes right through the intersection of the grids. Actually, you only need 1 of these, because the line goes through at (0, 15). Another point then can be (6, 6). Locate this point so you know what I means when I say that the line goes right through where the grids intersect at x = 6 and y = 6 (as opposed to somewhere in the middle of one of these grids). Find the slope between these 2 points:

[tex]m=\frac{6-15}{6-0}=-\frac{9}{6}=-\frac{3}{2}[/tex]

Since there's only one choice with that slope, that is the choice you want.

2. In the triangle below, NE and KL are perpendicular bisectors. Knowing that the sum of interior angles in
KLME is 360 degrees, find a.

Answers

Answer:

a = 60°

Step-by-step explanation:

From the picture attached,

In the given triangle,

NE and ML are the perpendicular bisectors of two sides of the triangle.

Therefore, m∠MEK = m∠MLK = 90°

Since, sum of interior angles of polygon KLME = 360°

m∠MEK + m∠MLK + m∠EML + m∠EKL = 360°

90° + 90° + 120° + a = 360°

a = 360° - 300°

a = 60°

A plan of a house is drawn to a scale of 1:50
a) On the plan, the dining room is 14 cm long and 12.4 cm wide. Find, in metres, the real length and width of the dinning room.

b) The lounge is 8 m long and 6.8 m wide. Find, in centimetres, its length and its width on the plan.​

Answers

Answer:

I tried out part a) not so sure though. I also think that for part b) u have to convert the m to cm then divide the answers by 50

The real length and width of the dinning room is 7 m and 6.2 m.

The length and width of the lounge in centimeters is 800 cm and 680 cm.

How to convert meters to centimeter and vice versa?

To convert the meter to cm, multiply the given meter value by 100 cm.

To convert the measurement from centimeters to meters, divide the number of centimeters by 100 or multiply the number of centimeters by 0.01.

According to the question

A plan of a house is drawn to a scale of 1:50

On the plan, the dining room is 14 cm long and 12.4 cm wide.

In meters:

1 m = 100 cm

a. Length of the dinning room = 14 cm  = [tex]\frac{14}{100}[/tex] = 0.14 m

Width of the dinning room = 12.4 cm = [tex]\frac{12.4}{100}[/tex] = 0.124 m

Actual length = 0.14 × 50 = 7 m

Actual width = 0.124 × 50 = 6.2 m

Hence, the real length and width of the dinning room is 7 m and 6.2 m

b. Length of lounge = 8 m

Width of lounge = 6.8 m

In centimeters:

1 m = 100 cm

Length of lounge (cm) = 8 × 100 = 800 cm

Width of lounge (cm) = 6.8 × 100 = 680 cm

Hence, the length and width of the lounge is 800 cm and 680 cm.

Find out ore information about meters to centimeter here

https://brainly.com/question/15195034

#SPJ3

I really need help I’ve been stuck on this question for 10 min now

Answers

Answer:

Step-by-step explanation:

Choice D is the only one that is applicable.

HELP ASAP
1.
(8,4)
(-4,2)
(4,-8)
(-8,4)
2.
(6,6)
(12,-12)
(-12,12)
(12,12)
3.
(-2,6)
(-4,12)
(4,12)
(12,-4)

Answers

Answer:

A(-2,1)》A1(-8, 4)

B(-3,3)》B1(-12,12)

C(-1,3)》C1(-4,12)

HOPE IT HELPS....

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